Question

composed of two
two linear functions x and
x is​

Answer 1

Answer:

Suppose I have 2 linear functions f(x) and g(x) would the g(f(x)) be a linear function as well? An example I wrote out was: f(x)=3x1+4x2 and g(x)=7x1+8x2

Is g(f(x))=7(3x1+4x2)+8(3x1+4x2)=21x1+28x2+24x1+32x2=45x1+60x2

Step-by-step explanation:

make me brainlist if it help you

Answer 2

Answer:

Suppose f:U→V and g:W→U are two linear functions, where U,V,W are vector spaces over a field k. Then

f∘g(w1+w2)=f(g(w1+w2))=f(g(w1)+g(w2))=f(g(w1))+f(g(w2))=f∘g(w1)+f∘g(w2)

where wi∈W.

Similarly, for λ∈k,

f∘g(λw)=f(g(λw))=f(λg(w))=λf(g(w))=λf∘g(w)

for every w∈W.